Competition in chemostat-type equations with two habitats |
| |
Authors: | Nakaoka Shinji Takeuchi Yasuhiro |
| |
Institution: | Graduate School of Science and Technology, Shizuoka University, Johoku 3-5-1, Hamamatsu, Shizuoka 432-8561, Japan. r5445020@ipc.shizuoka.ac.jp |
| |
Abstract: | Competition on a model with nutrient recycling is considered. The model is based on a chemostat-type equation which is used to study population dynamics of microorganisms. The model consists of four organisms competing for a limiting nutrient. Nutrient is supplied both from the in-flow of medium and a recycling with delay, the latter is generated from dead organisms by bacterial decomposition. This paper shows that the model undergoes a Hopf bifurcation through a critical value of time delay when the in-flow is small. Coexistence of four organisms competing for one limiting nutrient is indicated by numerical simulation results. |
| |
Keywords: | |
本文献已被 PubMed 等数据库收录! |
|